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Finding the Fourth Proportional to 2,024.36, 2,793.12 and 1,238.12

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Solution

The fourth proportional to 2,024.36, 2,793.12 and 1,238.12 is: 1,708.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.36 : 2,793.12 = 1,238.12 : x
  2. Step 2: Convert to fraction form
    2,024.36/2,793.12 = 1,238.12/x
  3. Step 3: Cross multiply
    2,024.36x = 2,793.12 × 1,238.12
  4. Step 4: Simplify right side
    2,024.36x = 3,458,217.73
  5. Step 5: Solve for x
    x = 3,458,217.73/2,024.36
  6. Step 6: Final answer
    x = 1,708.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.